Binary_Digit_Count

<script>
function Solve(args){
    var S = parseInt(args[0]);
    var N = parseInt(args[1]);
    var answer = 0;
    var combinations = N * N;
    var binNumber = "";
    var sum;

    var arr = [N];
    for(var i = 0; i < N; i++){
        arr[i] = parseInt(args[i+2]);
    }

    for(var i = 1; i < combinations; i++){
        binNumber = convertToBinary(i);
        sum = 0;

        for(var j = 0; j < N; j++){
            var bit = binNumber[j];
            if(bit == "1"){
                sum += arr[j];
            }
        }

        if(sum == S){
            answer++;
        }
    }

    return answer;

    function convertToBinary(number){
        var result = "";

        while(number != 0){
            var remainder = number % 2;
            number = parseInt(number / 2);

            result = remainder + result;
        }

        if(result === "") result = "0";

        return result;
    }
}

console.log(Solve(0,5,-2,-1,1,2,3));

</script>